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Finding the Fourth Proportional to 36,491.68, 50,381.50 and 27,978.02

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Solution

The fourth proportional to 36,491.68, 50,381.50 and 27,978.02 is: 38,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,491.68 : 50,381.50 = 27,978.02 : x
  2. Step 2: Convert to fraction form
    36,491.68/50,381.50 = 27,978.02/x
  3. Step 3: Cross multiply
    36,491.68x = 50,381.50 × 27,978.02
  4. Step 4: Simplify right side
    36,491.68x = 1,409,574,292.78
  5. Step 5: Solve for x
    x = 1,409,574,292.78/36,491.68
  6. Step 6: Final answer
    x = 38,627.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.